If 49 litres of a milk solution has 63% milk in it, then how much milk should be added to make the concentration of milk 70% in the solution?
Answer & explanation
Correct answer: option 1
Ratio of milk and water = (63 : 37) x 3 = 189 : 111
Ratio of milk and water after addition of milk
⇒ 70 : 30 = (7 : 3) x 37 = 259 : 111
In both cases. the ratio of water remains same
⇒ (189 + 111) = 49 Liters,
⇒ 300 units = 49,
⇒ 1 units = \(\frac{49}{300}\) Liters,
Now, milk added = 259 - 189 = 70 units,
⇒ 70 units = \(\frac{49}{300}\) x 70 = \(\frac{343}{30}\) = $11\frac{13}{30}$ Liters.